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Expanding and simplifying, e.g. (x+4)(x-2)

To break this down easily we can use a technique called a 'Farmers Field' ! Drawing a box with a cross through the middle to make 4 mini boxes, we can then use each mini box to write out each part of the ans...
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Answered by James H. • Maths tutor
4196 Views

Find the tangent for the line y=x^3+3x^2+4x+2 at x=2

Firstly, differentiate the equation y=x 3 +3x 2 +4x+2 to find the gradient function. The gradient function is dy/dx and is found to be 3x 2 +6x+4 = f'(x) after differentiation. The simple rule is to multiply...
WC
Answered by Wafi C. • Maths tutor
5997 Views

Solve the simultaneous equations: 4x+5y = 38 , x-y = 5

Firstly number the two equations 1 and 2 for simplicity. To solve this we want to eliminate one of the variables, x or y, so we start by looking at the equations and seeing if we can add or subtract them fro...
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Answered by Ali A. • Maths tutor
4962 Views

A common question would be how to factorise into two brackets, for example x^2 + 5x = -6

The first thing you must do is get all the terms on the same side, which we do by adding 6 to both sides : x^2 + 5x + 6 = 0. Next, we must work out which numbers add to the middle term, and write these down ...
MT
Answered by Madeleine T. • Maths tutor
4211 Views

I don't understand the point of differentiation or integration

If thinking about graphs, differentiation is the gradient, and integration is the area between the line and the axis. These operations are useful if we know values that are related through them, for example ...
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Answered by Guido B. • Maths tutor
3944 Views